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Finding the Fourth Proportional to 498,295.08, 687,669.57 and 280,578.60

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Solution

The fourth proportional to 498,295.08, 687,669.57 and 280,578.60 is: 387,211.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,295.08 : 687,669.57 = 280,578.60 : x
  2. Step 2: Convert to fraction form
    498,295.08/687,669.57 = 280,578.60/x
  3. Step 3: Cross multiply
    498,295.08x = 687,669.57 × 280,578.60
  4. Step 4: Simplify right side
    498,295.08x = 192,945,365,213.20
  5. Step 5: Solve for x
    x = 192,945,365,213.20/498,295.08
  6. Step 6: Final answer
    x = 387,211.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.